document.write( "Question 147824: I have been working on this problem for a while and have gotten several different answers.\r
\n" ); document.write( "\n" ); document.write( "0.4x + 3 ≤ 0.8x – 6
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\n" ); document.write( "I believe solving is easier if I get rid of the decimals by multiplying by 10. Do I multiply every term by 10 or only the terms with decimals?\r
\n" ); document.write( "\n" ); document.write( "0.4x + 3 ≤ 0.8x – 6
\n" ); document.write( "40x + 30 ≤ 80x – 60\r
\n" ); document.write( "\n" ); document.write( "Subtract 80x from both sides
\n" ); document.write( "-80x + 40x + 3 ≤ - 60
\n" ); document.write( "Subtract 30 from both sides\r
\n" ); document.write( "\n" ); document.write( "-80x + 40 x ≤ -60 – 30
\n" ); document.write( "-40x ≤ -90
\n" ); document.write( "Flip the inequality sign around because I am dividing by a negative number
\n" ); document.write( "-40x ≥ -90
\n" ); document.write( "x = -90 divided by -40
\n" ); document.write( " or 2.25\r
\n" ); document.write( "\n" ); document.write( "I this correct?\r
\n" ); document.write( "\n" ); document.write( "Thank you very much\r
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Algebra.Com's Answer #108213 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Remember you can always check whether your answer is correct by plugging it back into your original equation.
\n" ); document.write( " $\"0.4x%2B3%3C=0.8x-6\"$
\n" ); document.write( " $\"0.4%282.25%29%2B3%3C=0.8%282.25%29-6\"$
\n" ); document.write( " $\"0.9%29%2B3%3C=%281.8%29-6\"$
\n" ); document.write( " $\"3.9%3C=-4.2\"$
\n" ); document.write( "Your answer led to a false statement.
\n" ); document.write( "It is not correct.
\n" ); document.write( " $\"0.4x%2B3%3C=0.8x-6\"$ Multiply by 10, that's a good idea.
\n" ); document.write( " $\"4x%2B30%3C=8x-60\"$ <--- This is the line where you made your mistake
\n" ); document.write( "Yes, you need to multiply each term on both sides by 10.
\n" ); document.write( "You made a small multiplication mistake on both sides.
\n" ); document.write( "10(0.4)=4, you had 40.
\n" ); document.write( "10(0.8)=8, you had 80.
\n" ); document.write( "I think you can take it from there and finish it.
\n" ); document.write( "Please re-post if you need any more help.
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